Invariant submanifolds of contact (, )-manifolds are studied. Our main result is that any invariant submanifold of a non-Sasakian contact (, )-manifold is always totally geodesic and, conversely, every totally geodesic submanifold of a non-Sasakian contact (, )-manifold, 0, such that the characteristic vector field is tangent to the submanifold is invariant. Some consequences of these results are then discussed.
|Titolo:||Invariant submanifolds of contact (k,μ)-manifolds|
|Data di pubblicazione:||2008|
|Tipologia:||1.1 Articolo in rivista|